Finding the Third Proportional to 29,457 and 42,709.50

Step by Step Solution

1. Step 1: Write the proportion equation
   29,457 : 42,709.50 = 42,709.50 : x
2. Step 2: Convert to fraction form
   29,457/42,709.50 = 42,709.50/x
3. Step 3: Cross multiply
   29,457x = 42,709.50 × 42,709.50
4. Step 4: Simplify right side
   29,457x = 1,824,101,390.25
5. Step 5: Solve for x
   x = 1,824,101,390.25/29,457
6. Step 6: Final answer
   x = 61,924.21